A small block of mass m=2 kg slides on a frictionless track as shown in the figure below. Find (a) The speed of the block at B, if it starts at rest from point A? (b) What is the force of the track on the block at B? (Given, the radius of the loop R = 10.0 m) 4R R

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Consider a 0.5 kg mass at the top of a 1.5 m high (vertical) incline. if it is allowed to slide down with negligible friction, what will be its speed (in m/s) at the bottom?

The sledder shown in the figure starts from the top of a frictionless hill and slides down into the valley.  What initial speed Vi does the sledder need to just make it over the next hill?  Assume that the sledder reaches the very peak of the second hill at a very small speed like v=0.

You kick a football straight up with velocity, V and after sometime, the football is coming back to you. If you ignore the air resistance, at which point the ball will have the most energy?

A block of mass m = 7.00 kg is released from point A and slides on the frictionless trackshown in the figure below. Determine (a) the block’s speed at point C. (b) the net work doneby the gravitational force on the block as it moves from point B to point C.

The figure below shows a block with a mass of m = 4.90 kgthat starts from rest at point A and slides on a track with negligible friction. Point A is at a height of ha = 5.50 m.   (a) What is the block's speed at point B (in m/s)? m/s   What is the block's speed at point C (in m/s)? m/s   (b) What is the net work (in J) done by the gravitational force on the block as it moves from point A to point C? J

An object of mass m and initial velocity vi is sliding along a frictionless plane. It then goes upan incline, which does have friction, that is raised up by an angle θ above the horizontal. Howmuch energy needs to be released to reduce the object to 1/3 of its original speed? Express youanswer in terms of m, vi, θ, and the distance d traveled along the ramp.

a) Find the minimum height h in terms of R so that the cart passes through point A barely without detaching itself from the loop. b) What is the speed of the car at point A if h = 10 m? h A R

An object of mass m and initial velocity vi is sliding along a frictionless plane. It then goes upan incline, which does have friction, that is raised up by an angle θ above the horizontal. Howmuch energy needs to be released to reduce the object to 1/4 of its original speed? Express youanswer in terms of m, vi, θ, and the distance d traveled along the ramp.